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Finding the Fourth Proportional to 18,672.86, 25,768.53 and 10,289.42

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Solution

The fourth proportional to 18,672.86, 25,768.53 and 10,289.42 is: 14,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,672.86 : 25,768.53 = 10,289.42 : x
  2. Step 2: Convert to fraction form
    18,672.86/25,768.53 = 10,289.42/x
  3. Step 3: Cross multiply
    18,672.86x = 25,768.53 × 10,289.42
  4. Step 4: Simplify right side
    18,672.86x = 265,143,227.95
  5. Step 5: Solve for x
    x = 265,143,227.95/18,672.86
  6. Step 6: Final answer
    x = 14,199.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.